What is expand log_{10}(2x^5) ?

The solution to expand log_{10}(2x^5) is log_{10}(2)+5log_{10}(x)

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expand log_{10}(2x^5)

expand

lo g_{10} (2 x^{5})

lo g_{10} (2) + 5 lo g_{10} (x)

Solution steps

lo g_{10} (2 x^{5})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (2 x^{5}) = lo g_{10} (2) + lo g_{10} (x^{5})

= lo g_{10} (2) + lo g_{10} (x^{5})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (x^{5}) = 5 lo g_{10} (x)

= lo g_{10} (2) + 5 lo g_{10} (x)

ln (\frac{3}{2} e^{2 x})

ln ((3 r + 4 s) (2 r + 11 s))

1 + 5 (ln (3) - ln (4))

ln (y) + y + ln (x) + 3 x

- 150 ln (\frac{166}{195})

What is expand log_{10}(2x^5) ?
The solution to expand log_{10}(2x^5) is log_{10}(2)+5log_{10}(x)